MATH 141 -
PRECALCULUS
(FALL 2023)
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Notes on using the Canvas site:
ALEKS Extra Credit
(This review can especially help with the very
difficult Chapter 0.)
YOU
CAN PAY FOR AN ALEKS LICENSE.
I
CAN SEND YOU A CLASS CODE. Email
me
GETTING
STARTED:
ALEKS: Getting Started
(.pdf)
Orientation
Quick Tips (.pdf)
Orientation PowerPoint
(.ppt)
Printing Suggestions for Typed Files
I recommend two-page-to-a-side and/or double-sided printing to
save paper. Color printing is nice, but B&W printing is cheaper.
These
are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is
compatible with your system!
Syllabus (Fall 2023):
Homework Assignments
#1-A:
HW Answers (Ch.0 in my notes) (90 points)
#1-B:
HW Answers (Ch.1) (60 points)
#2:
HW Answers (Chs.2 and 3) (150 points)
#3:
HW Answers (Ch.4) (150 points)
#4:
HW Answers (Chs.5 and 6) (150 points)
#5:
HW Answers (Chs.7-10) (250 points)
PolarGraphPaper (Ch.10;
created using Mathematica with Microsoft Word)
Class Notes
Many
students benefit from printing the notes for a lecture beforehand, reviewing
them, and commenting on them in class.
You
may want to take personalized sketch notes in class.
Creative Commons License: For attribution,
simply mention my name and/or web URL somewhere if you are using huge chunks of
the notes. I simply want due credit.
NOTES FOR QUIZZES 1A AND 1B
Notes for Quiz 1A and
Quiz 1B (last revised 1/27/13)
Chapter
0: Preliminary Topics: (last revised 1/27/13)
NEW!! QUADRATIC FORMULA SONG! (SECTION 0.11):
https://www.youtube.com/watch?v=IfpkQVyqK7c
Chapter
1: Functions
CORRECTION to 1.2.3! In the middle of page 1.2.3, -9 (instead of 9)
is not in the domain of f.
MATH DANCES FOR GRAPHING!
http://9gag.com/gag/4419992/do-the-math-dance
(correction: x^2 + y^2 = r^2)
http://www.seyedrezabazyar.com/fa/math-dances/
https://www.reddit.com/r/geek/comments/444shr/dancing_mathematician/
(see the dance!)
(The
following notes will be revised for later semesters. Section and page
references may be inconsistent with the new Chapters 0 and 1. Please Email me with comments/suggestions.)
NOTES FOR MIDTERM 2
Chapter
2: Polynomial and Rational Functions
Chapter
3: Exponential and Logarithmic Functions
CARD SHARKS AND (NEARLY) EXPONENTIAL GROWTH: https://www.youtube.com/watch?v=Fb7mN5MObLE&list=PL5K97sZrlm86aVXIGEMqPhdDcGCyRFk5j&index=2&t=7s
NOTES FOR MIDTERM 3
Chapter
4: Trigonometry
Basic
Trig IDs (handout in class): Basic Trig IDs (revised from 5.1 notes: 3/8/18)
VISUALIZING THE SIX BASIC TRIG FUNCTIONS:
http://www.kkuniyuk.com/TrigSixParts.pdf
(revised 2/11/06)
NOTES FOR MIDTERM 4
Chapter
5: Analytic Trigonometry
More
Trig IDs (handout in class): Handout.
Chapter
6: Additional Topics in Trigonometry
KHAN ACADEMY ON EULER FORMULA. (Do you have emotion?)
https://www.youtube.com/watch?v=mgNtPOgFje0
NOTES FOR FINAL
Chapter
7: Systems of Equations and Inequalities
Chapter
8: Matrices and Determinants
Chapter
9: Discrete Math
SECTION 9.4: KHAN ACADEMY ON INDUCTION: https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction
SECTION 9.5: VIDEOS AND PASCAL’S TRIANGLE MAGIC: CLICK ON Notes for Final
Chapter
10: Conics and Polar Coordinates [as time permits] (Ch.10 is partly
handwritten.)
ANIMATION ON CONICS:
https://www.youtube.com/watch?v=HO2zAU3Eppo
Corrections: (0:48-1:07) The
double-nappe cone (or simply cone here should not be thought of as finite, so
there are no bases nd there is no base perimeter. The term directrix is used elsewhere,
especially when describing parabolas.
In
previous semesters, the final was cumulative. For your information, here was
the outline provided: Math141OldFinalOutline.pdf
Old Exams and Solutions (Spring 2023)
Quiz 1A Solutions (1 hour and
15 minutes)
Chapter
0: Preliminary Topics
Quiz 1B Solutions (50 minutes)
Chapter
1: Functions
Midterm #2 Solutions (1 hour for
Part 1; 1 hour and 10 minutes for Part 2)
Chapter
2: Polynomial and Rational Functions
Chapter
3: Exponential and Logarithmic Functions
Midterm #3 Solutions (40 minutes
for Part 1; 1 hour and 30 minutes for Part 2); see below
Chapter
4: Trigonometry
Midterm #4 Solutions (50 minutes
for Part 1; 1 hour and 20 minutes for Part 2)
Chapter
5: Analytic Trigonometry
Chapter
6: Additional Topics in Trigonometry
Final Solutions (2 hours
and 20 minutes). Material covered in later terms may differ.
Chapter
7: Systems of Equations [and Inequalities]
(Sections 7.5, 7.6 not on Final.)
Chapter
8: Matrices and Determinants (Sections
8.3, 8.5 not on Final.)
Chapter
9: Discrete Math
Chapter
10: Conics and Polar Coordinates
Current Exams and Solutions (Fall 2023)
Quiz 1A Solutions (1 hour and
15 minutes)
Chapter
0: Preliminary Topics
Quiz 1B Solutions (50 minutes)
Chapter
1: Functions
Midterm #2 Solutions (1 hour for
Part 1; 1 hour and 10 minutes for Part 2)
Chapter
2: Polynomial and Rational Functions
Chapter
3: Exponential and Logarithmic Functions
Midterm #3 Solutions (40 minutes
for Part 1; 1 hour and 30 minutes for Part 2); see below
Chapter
4: Trigonometry
Midterm #4 Solutions (50 minutes
for Part 1; 1 hour and 20 minutes for Part 2)
Chapter
5: Analytic Trigonometry
Chapter
6: Additional Topics in Trigonometry
•
Exams and solutions will be posted around the time they are graded.
Class Resources
TEST-TAKING TIPS; REDUCING TEST ANXIETY: Test.html Test.pdf
(pdf file)
FREE ONLINE BOOK (OPENSTAX PRECALCULUS): https://openstax.org/details/precalculus
FREE ONLINE BOOK (PRECALCULUS DEMYSTIFIED): http://libraryproxy.sdmesa.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=138326&site=ehost-live
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